Section 5.1. Three ways to answer this question: 1. Actually carry out an experiment 2. Develop a...

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Section 5.1

Transcript of Section 5.1. Three ways to answer this question: 1. Actually carry out an experiment 2. Develop a...

Page 1: Section 5.1.  Three ways to answer this question: 1. Actually carry out an experiment 2. Develop a probability model 3. Start with a model, and then.

Section 5.1

Page 2: Section 5.1.  Three ways to answer this question: 1. Actually carry out an experiment 2. Develop a probability model 3. Start with a model, and then.

Three ways to answer this question: 1. Actually carry out an experiment2. Develop a probability model 3. Start with a model, and then use a

procedure to simulate repetitions ▪ We’ll use technology

Page 3: Section 5.1.  Three ways to answer this question: 1. Actually carry out an experiment 2. Develop a probability model 3. Start with a model, and then.

The imitation of chance behavior based on a model that accurately reflects the experiment under consideration

Page 4: Section 5.1.  Three ways to answer this question: 1. Actually carry out an experiment 2. Develop a probability model 3. Start with a model, and then.

1. State: Ask a question of interest about some chance process.

2. Plan: Describe how to use a chance device to imitate one repetition of the process. Tell what you will record at the end of each repetition.

3. Do: Perform many repetitions of the simulation.

4. Conclude: Use the results of your simulation to answer the question of interest.

Page 5: Section 5.1.  Three ways to answer this question: 1. Actually carry out an experiment 2. Develop a probability model 3. Start with a model, and then.

First: Seed the calculator. TI-83/84 Instructions:

• Type in a number (I suggest birthday)

• Press STO> (above ON)

• Press MATH• Go to PRB• Select 1:rand

• Press ENTER twice• Your calculator is now

seeded

Page 6: Section 5.1.  Three ways to answer this question: 1. Actually carry out an experiment 2. Develop a probability model 3. Start with a model, and then.

• Press MATH• Go to PRB• And down to 5:randInt(

• Press ENTER• Type the number range

(Ex. if you have 130 entries, type 1, 130)

• If you want the calculator to give you more than one entry at a time, type it last (5)

• Press ENTER• If you have a repeat,

press ENTER again• Select those entries as

your sample

Page 7: Section 5.1.  Three ways to answer this question: 1. Actually carry out an experiment 2. Develop a probability model 3. Start with a model, and then.

The command randInt(0, 9, 5) generates 5 random digits between any two specified values.

The command randInt(1, 6, 7) could be used to simulate rolling a die 7 times.

Page 8: Section 5.1.  Three ways to answer this question: 1. Actually carry out an experiment 2. Develop a probability model 3. Start with a model, and then.

HP Prime Instructions to seed:

• Press

• Highlight Statistics 2Var

• Press

• Press • Select Math > 5 Probability

> 4 Random > 4 Seed

• Press

• Type in number (I suggest birthday)

• Press • Your calculator is now

seeded

Page 9: Section 5.1.  Three ways to answer this question: 1. Actually carry out an experiment 2. Develop a probability model 3. Start with a model, and then.

• Type in range (1, 130)

• Press however many times to get your sample.

• Press • Select Math > 5 Probability

> 4 Random > 2 Integer

• Press

If you have a repeated number, hit again.